85714440 has 128 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 19286784.

The previous prime is 85714427. The next prime is 85714487. The reversal of 85714440 is 4441758.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55519 + ... + 57041.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 2^85714440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

85714440 is an abundant number, since it is smaller than the sum of its proper divisors (212745720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85714440 is a wasteful number, since it uses less digits than its factorization.

85714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 85714440 is about 9258.2093301027. The cubic root of 85714440 is about 440.9114028549.

The spelling of 85714440 in words is "eighty-five million, seven hundred fourteen thousand, four hundred forty".